Control of chaotic solutions of the Hindmarsh-Rose equations

DOI10.1016/S0960-0779(99)00033-8zbMath0949.92008OpenAlexW2069896372MaRDI QIDQ1579834

N. Delaunay

Publication date: 19 November 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(99)00033-8

zbMATH Keywords

proportional feedbackelectrical activitychaotic burstingchaotic spike trainsneuron cell bodies

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (10)

Exact synchronization of noisy bursting neurons with coupling delays ⋮ Impulsive control and synchronization of chaotic Hhindmarsh-Rose models for neuronal activity ⋮ Synthesizing attractors of Hindmarsh-Rose neuronal systems ⋮ Qualitative feature extractions of chaotic systems ⋮ Control of chaotic neural networks based on contraction mappings ⋮ Periodic states with functional phase relation in weakly coupled chaotic Hindmarsh-Rose neurons ⋮ Controlling chaos in space-clamped FitzHugh-Nagumo neuron by adaptive passive method ⋮ An alternative bifurcation analysis of the Rose--Hindmarsh model ⋮ Lag synchronization of multiple identical Hindmarsh-Rose neuron models coupled in a ring structure ⋮ Chaotic synchronization and control in nonlinear-coupled Hindmarsh--Rose neural systems

Cites Work

• Chaos in a three-variable model of an excitable cell
• Crisis-induced chaos in the Rose-Hindmarsh model for neuronal activity
• Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle
• Techniques for the control of chaos
• Chaotic Spikes Arising from a Model of Bursting in Excitable Membranes
• Controlling chaos

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